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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
Limiting characteristics of queueing systems with vanishing perturbations
A. I. Zeifmanabc, V. Yu. Korolevade, R. V. Razumchika, Ya. A. Satinb, I. A. Kovalevbd a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
b Vologda State University, Vologda, Russia
c Vologda Research Center of the Russian Academy of Sciences, Vologda, Russia
d Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia
e Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
We consider inhomogeneous continuous-time Markov chains with vanishing perturbations. It is proved that, under some natural conditions, the limiting regimes of the initial and perturbed chains coincide. We obtain explicit estimates, which allow construction of the limiting regime of the perturbed chain, and show how these results can be used in the analysis of several known classes of queuing systems.
Keywords:
queuing systems, stability, vanishing perturbations.
Citation:
A. I. Zeifman, V. Yu. Korolev, R. V. Razumchik, Ya. A. Satin, I. A. Kovalev, “Limiting characteristics of queueing systems with vanishing perturbations”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 83–88; Dokl. Math., 106:2 (2022), 375–379
Linking options:
https://www.mathnet.ru/eng/danma303 https://www.mathnet.ru/eng/danma/v506/p83
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Abstract page: | 115 | References: | 21 |
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